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elley is mixing blue and yellow food coloring to make green food coloring for her bakery. The relationship between the amounts of food coloring she mixes can be modeled by the equation b=2/3y, where b represents the amount of blue food coloring and y represents the amount of yellow food coloring. Which of the following statements is true?

A.
Kelley uses 2 parts blue for every 3 parts yellow.

B.
Kelley uses 3 parts blue for every 2 parts yellow.

C.
Kelley uses 2 parts blue for every 5 parts yellow.

D.
Kelley uses 5 parts blue for every 2 parts yellow.

Respuesta :

A. Kelley uses 2 parts blue for every 3 parts yellow

Answer:

A. Kelley uses 2 parts blue for every 3 parts yellow.

Step-by-step explanation:

Given equation that shows the amount of blue food coloring,

[tex]b=\frac{2}{3}y[/tex]

Where,

y = amount of yellow food coloring,

If y = 2,

[tex]b=\frac{2}{3}\times 2=\frac{4}{3}[/tex]

i.e. [tex]\frac{4}{3}[/tex] parts of blue for every 2 parts yellow.

If y = 3,

[tex]b=\frac{2}{3}\times 3=2[/tex]

i.e. 2 parts of blue for every 3 parts yellow.

If y = 5,

[tex]b=\frac{2}{3}\times 5=\frac{10}{3}[/tex]

i.e. [tex]\frac{10}{3}[/tex] parts of blue for every 5 parts yellow.

Hence, OPTION A is correct.

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